90704802656 has 192 divisors, whose sum is σ = 209227898880. Its totient is φ = 38362705920.

The previous prime is 90704802649. The next prime is 90704802667. The reversal of 90704802656 is 65620840709.

It is a super-2 number, since 2×90704802656² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90704802656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30549140 + ... + 30552108.

It is an arithmetic number, because the mean of its divisors is an integer number (1089728640).

Almost surely, 2^90704802656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90704802656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104613949440).

90704802656 is an abundant number, since it is smaller than the sum of its proper divisors (118523096224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90704802656 is a wasteful number, since it uses less digits than its factorization.

90704802656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 90704802656 in words is "ninety billion, seven hundred four million, eight hundred two thousand, six hundred fifty-six".